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Finding the Fourth Proportional to 2,502.64, 3,454.06 and 1,508.01

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Solution

The fourth proportional to 2,502.64, 3,454.06 and 1,508.01 is: 2,081.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.64 : 3,454.06 = 1,508.01 : x
  2. Step 2: Convert to fraction form
    2,502.64/3,454.06 = 1,508.01/x
  3. Step 3: Cross multiply
    2,502.64x = 3,454.06 × 1,508.01
  4. Step 4: Simplify right side
    2,502.64x = 5,208,732.21
  5. Step 5: Solve for x
    x = 5,208,732.21/2,502.64
  6. Step 6: Final answer
    x = 2,081.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.